Solution:

Tilt the Mug until the coke barely touches the lip of the Mug. If the bottom of the Mug is visible then it is less than half full. If the Mug bottom is still completly coverd by the coke, then it is more than half full.

Solution:

The nail would be at the same height since trees grow at their tops.

Solution:

He fell into the Dead Sea, which lies between Israel and Jordan. The water is so salty and dense that anyone in it floats very easily.

Solution:

The doors at 'The Coconut Grove' opened inward. In the mad panic to escape the fire, people were crushed against the doors and could not pull them open. After 'The Coconut Grove' disaster in 1942, all public buildings had to have doors which opened outward.

Solution:

44

In 12 hours, the minute and hour hands overlaps or are in exact opposite direction 22 times.
=> In 24 hours, the hands overlaps or are in opposite direction 44 times

Solution:

2024

Seven occurrence
24-01-24
12-02-24
08-03-24
06-04-24
04-06-24
03-08-24
02-12-24

Solution:

125874 => 251748

251748 is twice the 125874 and have same digits 1,2,4,5,7 & 8

Solution:

They used square manhole covers in Baker Street. As the side is smaller than the diagonal of the square, they were prone to fall when twisted. However the manhole covers were round shaped in Crawford Street making them impossible to fall inside.

Solution:

It is at the North Pole.

The winds are blowing towards the north till they reach the pole. The moment the pole is crossed, they are blowing towards south.

Solution:

The worth of that coin is zero. This is because the B.C. and A.D. dating system was not empowered till the year 525. So the coin is probably fake.